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Finding the Fourth Proportional to 369.67, 509.63 and 264.57

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Solution

The fourth proportional to 369.67, 509.63 and 264.57 is: 364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.67 : 509.63 = 264.57 : x
  2. Step 2: Convert to fraction form
    369.67/509.63 = 264.57/x
  3. Step 3: Cross multiply
    369.67x = 509.63 × 264.57
  4. Step 4: Simplify right side
    369.67x = 134,831.49
  5. Step 5: Solve for x
    x = 134,831.49/369.67
  6. Step 6: Final answer
    x = 364.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.